Sebastián Muñoz-Thon

I am a postdoc based at Laboratoire de Mathématiques d’Orsay (LMO, Université Paris-Saclay), working in the group of Thibault Lefeuvre. I received my Ph.D. from Purdue University, under the supervision of Plamen Stefanov and Gunther Uhlmann. Previously, I obtained my bachelor's and master's degrees from Pontificia Universidad Católica de Chile, under the supervision of Mariel Sáez Trumper.

CVEmail: sebastian.munoz-thon at universite-paris-saclay dot fr

Sebastián Muñoz-Thon

Research

So far, my research has focused on geometric inverse problems and applications of microlocal/semiclassical analysis to (partially) hyperbolic dynamics.

  1. Generic twisted Poincaré series at zero on surfaces (in preparation with Tristan Humbert, Thibault Lefeuvre, and Zhongkai Tao)
  2. Local rigidity of conformally Euclidean metrics for the anisotropic Calderón problem (with Plamen Stefanov) [arXiv]
  3. (In)stability results for the Light Ray Transform (with Leonard Busch and Lauri Oksanen) [arXiv]
  4. Heat propagation on Abelian covers of principal bundles [arXiv]
  5. Boundary Rigidity in a fixed conformal class for Asymptotically Hyperbolic Manifolds (with Tristan Humbert) [arXiv]
  6. Marked magnetic action rigidity (with Louis-Brahim Beaufort and Sean Richardson) [arXiv]
  7. Decay of correlations on Abelian covers of isometric extensions of volume-preserving Anosov flows (with Mihajlo Cekić and Thibault Lefeuvre) [arXiv]
  8. Guillarmou's Normal Operator for Magnetic and Thermostat Flows (with Sean Richardson) Accepted in The Journal of Geometric Analysis. [arXiv]
  9. On the interplay between inverse scattering for asymptotically hyperbolic manifolds and the Calderón problem for the Conformal Laplacian. Accepted in Bulletin of the Australian Mathematical Society. [arXiv] [DOI]
  10. A Calderón's problem for harmonic maps. Accepted in SIAM Journal of Mathematical Analysis [arXiv]
  11. Scattering rigidity for standard stationary manifolds via timelike geodesics Nonlinearity, 38(11), 115006, 2025. [arXiv] [DOI]
  12. The linearization of the boundary rigidity problem for MP-systems and generic local boundary rigidity. Inverse Problems, 40(12), 125008, 2024. [arXiv] [DOI]
  13. The boundary and scattering rigidity problems for simple MP-systems. Inverse Problems and Imaging, 18(6), 1431-1446, 2024. [arXiv] [DOI]

Collaborators

Louis-Brahim Beaufort, Leonard Busch, Mihajlo Cekić, Tristan Humbert, Thibault Lefeuvre, Lauri Oksanen, Sean Richardson, Plamen Stefanov, Zhongkai Tao.